There are 70 participants in a competition. The average score of each participant is 56. The average score of the female participants is 61 and the average score of the male participants is 54.
- What is the total score of the 70 participants?
- How many male participants are there in the competition?
| |
Female |
Male |
Total |
| Number |
1 u |
70 - 1 u |
70 |
| Value |
61 |
54 |
56 |
| Total value |
61 u |
3780 - 54 u |
3920 |
(a)
Total score of all the participants
= 70 x 56
= 3920
(b)
Total score of female participants
= 1 u x 61
= 61 u
Total score of male participants
= 54(70 - 1 u)
= 3920 - 54 u
Total score of all the participants
= 61 u + 3780 - 54 u
= 7 u + 3780
7 u + 3780 = 3920
7 u = 3920 - 3780
7 u = 140
1 u = 140 ÷ 7 = 20
Number of male participants
= 1 u - 20
= 70 - 20
= 50
Answer(s): (a) 3920; (b) 50
